12,679 research outputs found
Active optical clock based on four-level quantum system
Active optical clock, a new conception of atomic clock, has been proposed
recently. In this report, we propose a scheme of active optical clock based on
four-level quantum system. The final accuracy and stability of two-level
quantum system are limited by second-order Doppler shift of thermal atomic
beam. To three-level quantum system, they are mainly limited by light shift of
pumping laser field. These limitations can be avoided effectively by applying
the scheme proposed here. Rubidium atom four-level quantum system, as a typical
example, is discussed in this paper. The population inversion between
and states can be built up at a time scale of s.
With the mechanism of active optical clock, in which the cavity mode linewidth
is much wider than that of the laser gain profile, it can output a laser with
quantum-limited linewidth narrower than 1 Hz in theory. An experimental
configuration is designed to realize this active optical clock.Comment: 5 page
Thermal and Nonthermal Pion Enhancements with Chiral Symmetry Restoration
The pion production by sigma decay and its relation with chiral symmetry
restoration in a hot and dense matter are investigated in the framework of the
Nambu-Jona-Lasinio model. The decay rate for the process sigma -> 2pion to the
lowest order in a 1/N_c expansion is calculated as a function of temperature T
and chemical potential mu. The thermal and nonthermal enhancements of pions
generated by the decay before and after the freeze-out present only in the
crossover region of the chiral symmetry transition. The strongest nonthermal
enhancement is located in the vicinity of the endpoint of the first-order
transition.Comment: Latex2e, 12 pages, 8 Postscript figures, submitted to Phys. Rev.
Connected Hopf algebras and iterated Ore extensions
We investigate when a skew polynomial extension T = R[x; {\sigma}, {\delta}]
of a Hopf algebra R admits a Hopf algebra structure, substantially generalising
a theorem of Panov. When this construction is applied iteratively in
characteristic 0 one obtains a large family of connected noetherian Hopf
algebras of finite Gelfand-Kirillov dimension, including for example all
enveloping algebras of finite dimensional solvable Lie algebras and all
coordinate rings of unipotent groups. The properties of these Hopf algebras are
investigated
Low-momentum Pion Enhancement Induced by Chiral Symmetry Restoration
The thermal and nonthermal pion production by sigma decay and its relation
with chiral symmetry restoration in a hot and dense matter are investigated.
The nonthermal decay into pions of sigma mesons which are popularly produced in
chiral symmetric phase leads to a low-momentum pion enhancement as a possible
signature of chiral phase transition at finite temperature and density.Comment: 3 pages, 2 figure
Sigma Decay at Finite Temperature and Density
Sigma decay and its relation with chiral phase transition are discussed at
finite temperature and density in the framework of the Nambu-Jona-Lasinio
model. The decay rate for the process sigma -> 2 pions to first order in a
1/N_c expansion is calculated as a function of temperature T and baryon density
n_b. In particular, only when the chiral phase transition happens around the
tricritical point, the sigma decay results in a non-thermal enhancement of
pions in the final state distributions in relativistic heavy ion collisions.Comment: 6 pages, 3 Postscript figures, submitted to Chin. Phys. Let
Superfluidity in a Three-flavor Fermi Gas with SU(3) Symmetry
We investigate the superfluidity and the associated Nambu-Goldstone modes in
a three-flavor atomic Fermi gas with SU(3) global symmetry. The s-wave pairing
occurs in flavor anti-triplet channel due to the Pauli principle, and the
superfluid state contains both gapped and gapless fermionic excitations.
Corresponding to the spontaneous breaking of the SU(3) symmetry to a SU(2)
symmetry with five broken generators, there are only three Nambu-Goldstone
modes, one is with linear dispersion law and two are with quadratic dispersion
law. The other two expected Nambu-Goldstone modes become massive with a mass
gap of the order of the fermion energy gap in a wide coupling range. The
abnormal number of Nambu-Goldstone modes, the quadratic dispersion law and the
mass gap have significant effect on the low temperature thermodynamics of the
matter.Comment: 9 pages, 2 figures, published versio
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